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arXiv 2104.02111math.DS
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线性端口-哈密顿系统是一般可控的

Linear port-Hamiltonian systems are generically controllable

Jonas Kirchhoff

摘要:

引入了相对类属子集的新概念。结果表明,可控线性有限维端口-哈密顿系统集合是所有线性有限维端口-哈密顿系统集合的相对一般子集。这意味着一个随机的、连续分布的端口-哈密顿系统几乎必然是可控的。

英文摘要:

The new concept of relative generic subsets is introduced. It is shown that the set of controllable linear finite-dimensional port-Hamiltonian systems is a relative generic subset of the set of all linear finite-dimensional port-Hamiltonian systems. This implies that a random, continuously distributed port-Hamiltonian system is almost surely controllable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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